Semi-Lagrangian methods in air pollution models
Various semi-Lagrangian methods are tested with respect to advection in air pollution modeling. The aim is to find a method fulfilling as many of the desirable properties by Rasch andWilliamson (1990) and Machenhauer et al. (2008) as possible. The focus in this study is on accuracy and local mass co...
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ftdoajarticles:oai:doaj.org/article:18065aa13c9240f5ab8bf967597d945c 2023-05-15T17:14:17+02:00 Semi-Lagrangian methods in air pollution models A. B. Hansen J. Brandt J. H. Christensen E. Kaas 2011-06-01T00:00:00Z https://doi.org/10.5194/gmd-4-511-2011 https://doaj.org/article/18065aa13c9240f5ab8bf967597d945c EN eng Copernicus Publications http://www.geosci-model-dev.net/4/511/2011/gmd-4-511-2011.pdf https://doaj.org/toc/1991-959X https://doaj.org/toc/1991-9603 doi:10.5194/gmd-4-511-2011 1991-959X 1991-9603 https://doaj.org/article/18065aa13c9240f5ab8bf967597d945c Geoscientific Model Development, Vol 4, Iss 2, Pp 511-541 (2011) Geology QE1-996.5 article 2011 ftdoajarticles https://doi.org/10.5194/gmd-4-511-2011 2022-12-31T02:10:59Z Various semi-Lagrangian methods are tested with respect to advection in air pollution modeling. The aim is to find a method fulfilling as many of the desirable properties by Rasch andWilliamson (1990) and Machenhauer et al. (2008) as possible. The focus in this study is on accuracy and local mass conservation. The methods tested are, first, classical semi-Lagrangian cubic interpolation, see e.g. Durran (1999), second, semi-Lagrangian cubic cascade interpolation, by Nair et al. (2002), third, semi-Lagrangian cubic interpolation with the modified interpolation weights, Locally Mass Conserving Semi-Lagrangian (LMCSL), by Kaas (2008), and last, semi-Lagrangian cubic interpolation with a locally mass conserving monotonic filter by Kaas and Nielsen (2010). Semi-Lagrangian (SL) interpolation is a classical method for atmospheric modeling, cascade interpolation is more efficient computationally, modified interpolation weights assure mass conservation and the locally mass conserving monotonic filter imposes monotonicity. All schemes are tested with advection alone or with advection and chemistry together under both typical rural and urban conditions using different temporal and spatial resolution. The methods are compared with a current state-of-the-art scheme, Accurate Space Derivatives (ASD), see Frohn et al. (2002), presently used at the National Environmental Research Institute (NERI) in Denmark. To enable a consistent comparison only non-divergent flow configurations are tested. The test cases are based either on the traditional slotted cylinder or the rotating cone, where the schemes' ability to model both steep gradients and slopes are challenged. The tests showed that the locally mass conserving monotonic filter improved the results significantly for some of the test cases, however, not for all. It was found that the semi-Lagrangian schemes, in almost every case, were not able to outperform the current ASD scheme used in DEHM with respect to accuracy. Article in Journal/Newspaper National Environmental Research Institute Directory of Open Access Journals: DOAJ Articles Neri ENVELOPE(156.206,156.206,61.801,61.801) Geoscientific Model Development 4 2 511 541 |
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Directory of Open Access Journals: DOAJ Articles |
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English |
topic |
Geology QE1-996.5 |
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Geology QE1-996.5 A. B. Hansen J. Brandt J. H. Christensen E. Kaas Semi-Lagrangian methods in air pollution models |
topic_facet |
Geology QE1-996.5 |
description |
Various semi-Lagrangian methods are tested with respect to advection in air pollution modeling. The aim is to find a method fulfilling as many of the desirable properties by Rasch andWilliamson (1990) and Machenhauer et al. (2008) as possible. The focus in this study is on accuracy and local mass conservation. The methods tested are, first, classical semi-Lagrangian cubic interpolation, see e.g. Durran (1999), second, semi-Lagrangian cubic cascade interpolation, by Nair et al. (2002), third, semi-Lagrangian cubic interpolation with the modified interpolation weights, Locally Mass Conserving Semi-Lagrangian (LMCSL), by Kaas (2008), and last, semi-Lagrangian cubic interpolation with a locally mass conserving monotonic filter by Kaas and Nielsen (2010). Semi-Lagrangian (SL) interpolation is a classical method for atmospheric modeling, cascade interpolation is more efficient computationally, modified interpolation weights assure mass conservation and the locally mass conserving monotonic filter imposes monotonicity. All schemes are tested with advection alone or with advection and chemistry together under both typical rural and urban conditions using different temporal and spatial resolution. The methods are compared with a current state-of-the-art scheme, Accurate Space Derivatives (ASD), see Frohn et al. (2002), presently used at the National Environmental Research Institute (NERI) in Denmark. To enable a consistent comparison only non-divergent flow configurations are tested. The test cases are based either on the traditional slotted cylinder or the rotating cone, where the schemes' ability to model both steep gradients and slopes are challenged. The tests showed that the locally mass conserving monotonic filter improved the results significantly for some of the test cases, however, not for all. It was found that the semi-Lagrangian schemes, in almost every case, were not able to outperform the current ASD scheme used in DEHM with respect to accuracy. |
format |
Article in Journal/Newspaper |
author |
A. B. Hansen J. Brandt J. H. Christensen E. Kaas |
author_facet |
A. B. Hansen J. Brandt J. H. Christensen E. Kaas |
author_sort |
A. B. Hansen |
title |
Semi-Lagrangian methods in air pollution models |
title_short |
Semi-Lagrangian methods in air pollution models |
title_full |
Semi-Lagrangian methods in air pollution models |
title_fullStr |
Semi-Lagrangian methods in air pollution models |
title_full_unstemmed |
Semi-Lagrangian methods in air pollution models |
title_sort |
semi-lagrangian methods in air pollution models |
publisher |
Copernicus Publications |
publishDate |
2011 |
url |
https://doi.org/10.5194/gmd-4-511-2011 https://doaj.org/article/18065aa13c9240f5ab8bf967597d945c |
long_lat |
ENVELOPE(156.206,156.206,61.801,61.801) |
geographic |
Neri |
geographic_facet |
Neri |
genre |
National Environmental Research Institute |
genre_facet |
National Environmental Research Institute |
op_source |
Geoscientific Model Development, Vol 4, Iss 2, Pp 511-541 (2011) |
op_relation |
http://www.geosci-model-dev.net/4/511/2011/gmd-4-511-2011.pdf https://doaj.org/toc/1991-959X https://doaj.org/toc/1991-9603 doi:10.5194/gmd-4-511-2011 1991-959X 1991-9603 https://doaj.org/article/18065aa13c9240f5ab8bf967597d945c |
op_doi |
https://doi.org/10.5194/gmd-4-511-2011 |
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Geoscientific Model Development |
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